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Simplifying 10z + 3 = 12 + -1z Reorder the terms: 3 + 10z = 12 + -1z Solving 3 + 10z = 12 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 3 + 10z + z = 12 + -1z + z Combine like terms: 10z + z = 11z 3 + 11z = 12 + -1z + z Combine like terms: -1z + z = 0 3 + 11z = 12 + 0 3 + 11z = 12 Add '-3' to each side of the equation. 3 + -3 + 11z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 11z = 12 + -3 11z = 12 + -3 Combine like terms: 12 + -3 = 9 11z = 9 Divide each side by '11'. z = 0.8181818182 Simplifying z = 0.8181818182
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